Question

The diagonal of a TV is 28 inches long. Assuming that thia diagonal forma a

pair of 30-60-90 right triangles, what are the exact length and width of the TV?
O
A. 55
inches by 568 inches
O B. 14 inches by 142 inches
O c. 56 inches by 56.5 inches
OD. 14 inches by 14,5 inches
​

Answer 1

Hmm... None of these choices seem to be correct.

Explanation:

• In 30-60-90 triangles, the length of the shorter leg is half the length of the hypotenuse. In this case, the hypotenuse is the diagonal. So half of 28 is 14. Therefore, the width of the TV is 14 inches.
• This eliminates answer choices A and C, that would imply the answer is either B or D, but.....

• In 30-60-90 triangles, the length of the longer leg is
  `√(3)` times the length of the shorter leg. So if we were being exact, the length of the TV is
  `14√(3)` . And if we rounded, the length would be about 24.25.
• There is no choice in your options that is similar to our conclusions. Maybe you should contact your teacher about this. Have a nice day! :)